Cyclic Characters of Symmetric Groups

  • ARMIN JÖLLENBECK joellenbeck
  • Published 2000

Abstract

We consider characters of finite symmetric groups induced from linear characters of cyclic subgroups. A new approach to Stembridge’s result on their decomposition into irreducible components is presented. In the special case of a subgroup generated by a cycle of longest possible length, this amounts to a short proof of the Kraśkiewicz-Weyman theorem. 

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